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Finding the Fourth Proportional to 4,432.77, 6,650.82 and 2,354.31

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Solution

The fourth proportional to 4,432.77, 6,650.82 and 2,354.31 is: 3,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.77 : 6,650.82 = 2,354.31 : x
  2. Step 2: Convert to fraction form
    4,432.77/6,650.82 = 2,354.31/x
  3. Step 3: Cross multiply
    4,432.77x = 6,650.82 × 2,354.31
  4. Step 4: Simplify right side
    4,432.77x = 15,658,092.03
  5. Step 5: Solve for x
    x = 15,658,092.03/4,432.77
  6. Step 6: Final answer
    x = 3,532.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.